MR: MSC results for ""

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// load tracker asynchronously (function() { var d=document, g=d.createElement('script'), s=d.getElementsByTagName('script')[0]; g.type='text/javascript'; g.async=true; g.defer=true; g.src='//connect.liblynx.com/log/js/counter5.min.js'; s.parentNode.insertBefore(g,s); })(); </script> </head> <body > <form name="backButtonTest" action=""> <input type="hidden" name="dummy" value="1" /> </form> <script type="text/javascript">  </script> <div class="mobile"> <a href="https://www.ams.org/pairing/pair_my_device_mobile.html">Click here to activate Remote Access</a> </div> <div id="everything"> <div id="menuWrap"> <ul id="menu"> <li class="first"> <div id="clipboard" class="clipboardHidden"> <a href="/mathscinet/2006/mathscinet/clipboard.html">Clipboard</a> </div> </li> <li class="first"> <a href="/mathscinet/2006/mathscinet?version=2" >Home</a> </li> <li> <a href="/mathscinet/2006/mathscinet/preferences.html?version=2" >Preferences</a> </li> <li> <a href="/mathscinet/2006/mathscinet/freeTools.html?version=2" >Free Tools</a> </li> <li><a href="/mathscinet/2006/mathscinet/help/search_msc_help.html?version=2">Help</a></li> <li><a href="/mathscinet/2006/mathscinet/support_mail.html?version=2" class="help">Contact Us</a></li> <li> <a href="/mathscinet/2006/mathscinet/help/mathscinet_terms_of_use.html?version=2" >Terms of Use</a> </li> <li> <a href="http://blogs.ams.org/beyondreviews" >Blog</a> </li> </ul> </div> <div id="logocontainer"> <div class="instname"> <span id="mobileaccess"><a href="https://www.ams.org/pairing/pair_my_device.html"><img src="/mathscinet/2006/mathscinet/images/remote-access-icon.png" alt="Click here to activate Remote Access" /></a></span> </div> <a href="/mathscinet/2006/mathscinet/index.html" id="logo" title="Go to the MathSciNet Search Page"><img src="/mathscinet/2006/mathscinet/images/logo.1673450277.png" alt="MathSciNet" /></a> </div> <div id="MatchForm"> </div> <div id="content"> <div id="titleSeparator"></div> <div class="pageTitle"> MSC results for "20" </div> <div class="indent1"> <strong> <a href="mscbrowse.html?pc=20"> 20 </a> </strong> </a> <span class="yearRange">(1940-now)</span> Group theory and generalizations </div> <div class="indent3"> <strong> 20-00 </strong> </a> <span class="yearRange">(1973-now)</span> General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to group theory </div> <div class="indent3"> <strong> 20-01 </strong> </a> <span class="yearRange">(1973-now)</span> Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory </div> <div class="indent3"> <strong> 20-02 </strong> </a> <span class="yearRange">(1973-now)</span> Research exposition (monographs, survey articles) pertaining to group theory </div> <div class="indent3"> <strong> 20-03 </strong> </a> <span class="yearRange">(1973-now)</span> History of group theory [Consider also classification numbers from Section 01] </div> <div class="indent3"> <strong> 20-04 </strong> </a> <span class="yearRange">(1973-now)</span> Software, source code, etc. for problems pertaining to group theory </div> <div class="indent3"> <strong> 20-06 </strong> </a> <span class="yearRange">(1973-now)</span> Proceedings, conferences, collections, etc. pertaining to group theory </div> <div class="indent3"> <strong> 20-08 </strong> </a> <span class="yearRange">(2020-now)</span> Computational methods for problems pertaining to group theory </div> <div class="indent3"> <strong> 20-11 </strong> </a> <span class="yearRange">(2020-now)</span> Research data for problems pertaining to group theory </div> <div class="indent2"> <strong> <a href="mscbrowse.html?pc=20A"> 20A </a> </strong> </a> <span class="yearRange">(1973-now)</span> Foundations </div> <div class="indent2"> <strong> <a href="mscbrowse.html?pc=20B"> 20B </a> </strong> </a> <span class="yearRange">(1973-now)</span> Permutation groups </div> <div class="indent2"> <strong> <a href="mscbrowse.html?pc=20C"> 20C </a> </strong> </a> <span class="yearRange">(1973-now)</span> Representation theory of groups {For representation rings and Burnside rings, see also <a href="mscbrowse.html?code=19A22">19A22</a>} </div> <div class="indent2"> <strong> <a href="mscbrowse.html?pc=20D"> 20D </a> </strong> </a> <span class="yearRange">(1973-now)</span> Abstract finite groups </div> <div class="indent2"> <strong> <a href="mscbrowse.html?pc=20E"> 20E </a> </strong> </a> <span class="yearRange">(1973-now)</span> Structure and classification of infinite or finite groups </div> <div class="indent2"> <strong> <a href="mscbrowse.html?pc=20F"> 20F </a> </strong> </a> <span class="yearRange">(1973-now)</span> Special aspects of infinite or finite groups </div> <div class="indent2"> <strong> <a href="mscbrowse.html?pc=20G"> 20G </a> </strong> </a> <span class="yearRange">(1973-now)</span> Linear algebraic groups and related topics {For arithmetic theory, see <a href="mscbrowse.html?code=11E57">11E57</a>, <a href="mscbrowse.html?code=11H56">11H56</a>; for geometric theory, see <a href="mscbrowse.html?code=14L">14Lxx</a>, <a href="mscbrowse.html?code=22E">22Exx</a>; for other methods in representation theory, see <a href="mscbrowse.html?code=15A30">15A30</a>, <a href="mscbrowse.html?code=22E45">22E45</a>, <a href="mscbrowse.html?code=22E46">22E46</a>, <a href="mscbrowse.html?code=22E47">22E47</a>, <a href="mscbrowse.html?code=22E50">22E50</a>, <a href="mscbrowse.html?code=22E55">22E55</a>} </div> <div class="indent2"> <strong> <a href="mscbrowse.html?pc=20H"> 20H </a> </strong> </a> <span class="yearRange">(1973-now)</span> Other groups of matrices [See also <a href="mscbrowse.html?code=15A30">15A30</a>] </div> <div class="indent2"> <strong> <a href="mscbrowse.html?pc=20J"> 20J </a> </strong> </a> <span class="yearRange">(1973-now)</span> Connections of group theory with homological algebra and category theory </div> <div class="indent2"> <strong> <a href="mscbrowse.html?pc=20K"> 20K </a> </strong> </a> <span class="yearRange">(1973-now)</span> Abelian groups </div> <div class="indent2"> <strong> <a href="mscbrowse.html?pc=20L"> 20L </a> </strong> </a> <span class="yearRange">(1973-now)</span> Groupoids (i.e. small categories in which all morphisms are isomorphisms) {For sets with a single binary operation, see <a href="mscbrowse.html?code=20N02">20N02</a>; for topological groupoids, see <a href="mscbrowse.html?code=22A22">22A22</a>, <a href="mscbrowse.html?code=58H05">58H05</a>} </div> <div class="indent2"> <strong> <a href="mscbrowse.html?pc=20M"> 20M </a> </strong> </a> <span class="yearRange">(1973-now)</span> Semigroups </div> <div class="indent2"> <strong> <a href="mscbrowse.html?pc=20N"> 20N </a> </strong> </a> <span class="yearRange">(1973-now)</span> Other generalizations of groups </div> <div class="indent2"> <strong> <a href="mscbrowse.html?pc=20P"> 20P </a> </strong> </a> <span class="yearRange">(1973-now)</span> Probabilistic methods in group theory [See also <a href="mscbrowse.html?code=60B">60Bxx</a>] </div> <div class="indent2"> </div> <div class="indent3"> <strong> 20.00 </strong> </a> <span class="yearRange">(1959-1972)</span> General </div> <div class="indent3"> <strong> 20.08 </strong> </a> <span class="yearRange">(1959-1972)</span> Varieties of groups </div> <div class="indent3"> <strong> 20.0 </strong> </a> <span class="yearRange">(1940-1958)</span> Group theory and generalizations </div> <div class="indent3"> <strong> 20.10 </strong> </a> <span class="yearRange">(1959-1972)</span> Group presentations; free groups, generators, relations </div> <div class="indent3"> <strong> 20.15 </strong> </a> <span class="yearRange">(1959-1972)</span> Periodic groups </div> <div class="indent3"> <strong> 20.18 </strong> </a> <span class="yearRange">(1959-1972)</span> Groups with local properties </div> <div class="indent3"> <strong> 20.20 </strong> </a> <span class="yearRange">(1959-1972)</span> Groups acting on sets, permutation groups </div> <div class="indent3"> <strong> 20.22 </strong> </a> <span class="yearRange">(1959-1972)</span> Automorphism groups </div> <div class="indent3"> <strong> 20.25 </strong> </a> <span class="yearRange">(1959-1972)</span> Finite group theory </div> <div class="indent3"> <strong> 20.27 </strong> </a> <span class="yearRange">(1959-1972)</span> Structure of groups, classification </div> <div class="indent3"> <strong> 20.29 </strong> </a> <span class="yearRange">(1959-1972)</span> Simple groups </div> <div class="indent3"> <strong> 20.30 </strong> </a> <span class="yearRange">(1959-1972)</span> Abelian groups </div> <div class="indent3"> <strong> 20.40 </strong> </a> <span class="yearRange">(1959-1972)</span> Nilpotent, solvable, <span class="MathTeX">$p$</span><script type="math/tex">p</script>-groups </div> <div class="indent3"> <strong> 20.43 </strong> </a> <span class="yearRange">(1959-1972)</span> Sylow subgroups, <span class="MathTeX">$\Pi$</span><script type="math/tex">\Pi</script>-subgroups </div> <div class="indent3"> <strong> 20.48 </strong> </a> <span class="yearRange">(1959-1972)</span> Group extensions </div> <div class="indent3"> <strong> 20.50 </strong> </a> <span class="yearRange">(1959-1972)</span> Homological methods in group theory </div> <div class="indent3"> <strong> 20.51 </strong> </a> <span class="yearRange">(1959-1972)</span> Limits of systems of groups </div> <div class="indent3"> <strong> 20.52 </strong> </a> <span class="yearRange">(1959-1972)</span> General products of groups (including semidirect, wreath, free, amalgamated) </div> <div class="indent3"> <strong> 20.54 </strong> </a> <span class="yearRange">(1959-1972)</span> Special subgroups </div> <div class="indent3"> <strong> 20.56 </strong> </a> <span class="yearRange">(1959-1972)</span> Series of subgroups </div> <div class="indent3"> <strong> 20.58 </strong> </a> <span class="yearRange">(1959-1972)</span> Lattices of subgroups </div> <div class="indent3"> <strong> 20.60 </strong> </a> <span class="yearRange">(1959-1972)</span> Crystallographic and discrete geometric groups </div> <div class="indent3"> <strong> 20.65 </strong> </a> <span class="yearRange">(1959-1972)</span> Modular groups, discrete subgroups of classical groups </div> <div class="indent3"> <strong> 20.70 </strong> </a> <span class="yearRange">(1959-1972)</span> Classical groups [See also <a href="mscbrowse.html?code=22.55">22.55</a>] </div> <div class="indent3"> <strong> 20.72 </strong> </a> <span class="yearRange">(1959-1972)</span> Collineation groups </div> <div class="indent3"> <strong> 20.75 </strong> </a> <span class="yearRange">(1959-1972)</span> Linear groups, general [See also <a href="mscbrowse.html?code=14.50">14.50</a>] </div> <div class="indent3"> <strong> 20.80 </strong> </a> <span class="yearRange">(1959-1972)</span> Representations, characters, group algebras </div> <div class="indent3"> <strong> 20.85 </strong> </a> <span class="yearRange">(1959-1972)</span> Representations of symmetric groups </div> <div class="indent3"> <strong> 20.90 </strong> </a> <span class="yearRange">(1959-1972)</span> Semigroup algebras, representations, characters </div> <div class="indent3"> <strong> 20.92 </strong> </a> <span class="yearRange">(1959-1972)</span> Semigroups, general theory [See also <a href="mscbrowse.html?code=06.70">06.70</a>] </div> <div class="indent3"> <strong> 20.93 </strong> </a> <span class="yearRange">(1959-1972)</span> Semigroups, structure and classification </div> <div class="indent3"> <strong> 20.95 </strong> </a> <span class="yearRange">(1959-1972)</span> Other binary systems; groupoids, quasigroups, loops </div> <div class="indent3"> <strong> 20.97 </strong> </a> <span class="yearRange">(1959-1972)</span> Ternary systems; heaps, semiheaps, heapoids </div> <div class="indent3"> <strong> 20.98 </strong> </a> <span class="yearRange">(1959-1972)</span> <span class="MathTeX">$n$</span><script type="math/tex">n</script>-ary systems [See also <a href="mscbrowse.html?code=08.00">08.00</a>] </div> <div class="indent3"> <strong> 20.99 </strong> </a> <span class="yearRange">(1959-1972)</span> None of the above, but in this section </div> <div id="footerSeparator"></div> </div> <div class="copyright"> <br /> <a href="http://www.ams.org/ams/copyright.html">© <text id="copyright">Copyright</text> 2024, <text id="ams">American Mathematical Society</text></a><br /> <a href="http://www.ams.org/ams/privacy.html"><text id="privacy">Privacy Statement</text></a> </div> <div class="amsAddress"> <a href="http://www.ams.org"><img src="/mathscinet/2006/mathscinet/images/ams-logo-msn-footer.jpg" alt="American Mathematical Society" /></a> </div> </div> </body> </html>

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MR: MSC results for ""